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Finding the Third Proportional to 714,465.50 and 1,527,185

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Solution

The third proportional to 714,465.50 and 1,527,185 is: 3,264,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,465.50 : 1,527,185 = 1,527,185 : x
  2. Step 2: Convert to fraction form
    714,465.50/1,527,185 = 1,527,185/x
  3. Step 3: Cross multiply
    714,465.50x = 1,527,185 × 1,527,185
  4. Step 4: Simplify right side
    714,465.50x = 2,332,294,024,225
  5. Step 5: Solve for x
    x = 2,332,294,024,225/714,465.50
  6. Step 6: Final answer
    x = 3,264,389.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.